Question

1)
Find the value of x:
24: ::128 : 144​

Answer 1

Answer:

x=21.33333333333333 (I wrote 21.3 in short).

Step-by-step explanation:

x:24::128:144

x/24 :: 128/144

144x= 24 × 128

x= 24 × 128/144

x= 128/6 (24 and 144 must be subsituted because 144/24 is 6).

x= 21.3

Are they in proportion?

21.3:24::128:144

21.3 × 144 = 24 × 128

3072 = 3072

Therefore, they are in proportion.

Answer 2

Answer:

Step by step solutions,

1. The equation,

24 : X :: 128 : 144

or, 24/X = 128/144

$or \: 128x = 24 \times 144 \\ or \: x = 3456 \div 128 \\or \: x = 27$

:. The value of X is 27.

2.or, If the equation like this,

24 : 128 :: 144 : X

or, 24 /128=144/X

$or \: 24x = 128 \times 144 \\ or \: 24x = 18432 \\ or \: x = 18432 \div 24 \\ or \: x = 768$

:. The value of X is 768.